Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Hi! I'm happy to help!
Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:
4x=(2x+3)+(x)
4x=3x+3
To solve for x, we have to isolate it on one side of the equation.
First, let's subtract 3x from both sides so that we can isolate x:
4x=3x+3
-3x -3x
x=3
<u>So, our x=3, which means that KL=3.</u>
I hope this was helpful, keep learning! :D
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Answer:
n 1932 DeBakey devised the “roller pump,” an essential component of the heart-lung machine that permitted open-heart surgery. He also developed an efficient method of correcting aortic aneurysms by grafting frozen blood vessels to replace diseased vessels.
Works written: The New Living Heart
Born: September 7, 1908, Lake Charles
Died: July 11, 2008
Step-by-step explanation:
